An oscilloscope measures a voltage,V(t) = V₁(t) + V₂(t), where V₁ and V₂ are both sinusoidal voltage signals. V₁ has a peak voltage of 2 V and frequency of 50 Hz, whereas V₂ has a peak voltage of 1 V and frequency of 48 Hz. 1. Plot the signal V(t) in Matlab 2. What is the frequency of the slow modulation?(also known as the beat frequency) 3. What time delay is required for V₁ to change the phase of beat signal by pi? 4. Plot what you would see if the oscilloscope only samples the voltage with a period of 10 ms.